TSTP Solution File: AGT004+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : AGT004+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 12:02:02 EDT 2022
% Result : Theorem 0.54s 0.73s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 80 ( 42 ~; 27 |; 6 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 51 ( 3 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ) ).
fof(a1_5,axiom,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ) ).
fof(a1_6,axiom,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) ) ).
fof(event_37,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ).
fof(event_38,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ).
fof(query_4,conjecture,
~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ).
fof(subgoal_0,plain,
~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(strip,[],[query_4]) ).
fof(negate_0_0,plain,
~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(canonicalize,[],[event_37]) ).
fof(normalize_0_1,plain,
! [A,C,L] :
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(canonicalize,[],[a1_6]) ).
fof(normalize_0_2,plain,
! [A,C,L] :
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
<=> ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) ) ),
inference(canonicalize,[],[a1_1]) ).
fof(normalize_0_5,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
<=> ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,C,L,N] :
( ( ~ accept_team(A,L,C,N)
| accept_city(A,C) )
& ( ~ accept_team(A,L,C,N)
| accept_leader(A,L) )
& ( ~ accept_team(A,L,C,N)
| accept_number(A,N) )
& ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N)
| accept_team(A,L,C,N) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,C,L,N] :
( ~ accept_team(A,L,C,N)
| accept_city(A,C) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(canonicalize,[],[event_38]) ).
fof(normalize_0_9,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(canonicalize,[],[a1_5]) ).
fof(normalize_0_10,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,C,L] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(clausify,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(countryamedicalorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(christiancountrychumanitarianorganization))]]) ).
cnf(refute_0_3,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
inference(resolve,[$cnf( the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_5,plain,
( ~ accept_team(A,L,C,N)
| accept_city(A,C) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(countryamedicalorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(countryahumanitarianorganization)),bind(N,$fot(n5))]]) ).
cnf(refute_0_7,plain,
accept_city(countryamedicalorganization,coastvillage),
inference(resolve,[$cnf( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolve,[$cnf( accept_city(countryamedicalorganization,coastvillage) )],[refute_0_7,refute_0_3]) ).
cnf(refute_0_9,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_10,plain,
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_11,plain,
( ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(countryamedicalorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(christiancountrychumanitarianorganization))]]) ).
cnf(refute_0_12,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(resolve,[$cnf( any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) )],[refute_0_12,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT004+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 4 05:15:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.54/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.73
% 0.54/0.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.54/0.73
%------------------------------------------------------------------------------